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Finding the Fourth Proportional to 9,759.60, 14,630.76 and 4,564.08

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Solution

The fourth proportional to 9,759.60, 14,630.76 and 4,564.08 is: 6,842.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.60 : 14,630.76 = 4,564.08 : x
  2. Step 2: Convert to fraction form
    9,759.60/14,630.76 = 4,564.08/x
  3. Step 3: Cross multiply
    9,759.60x = 14,630.76 × 4,564.08
  4. Step 4: Simplify right side
    9,759.60x = 66,775,959.10
  5. Step 5: Solve for x
    x = 66,775,959.10/9,759.60
  6. Step 6: Final answer
    x = 6,842.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.